Question

The figure shows the force (F) versus
displacement (s) graph for a particle of mass m
= 2kg initially at rest
​

Answer 1

Answer:

(1) Maximum speed occurs at x=3

(2) Maximum speed is V=4.183 m/s

(3) At x=6, V=0.

Therefore correct option is (B).

Explanation:

We will use the concept of kinetic energy. Since it is the only formula which relates force, distance, and area under the curve.

The kinetic energy at a given moment is equal to the work done from the beginning to that moment.

K.E= (1/2)x(M)x(V^2)

Area under the curve upto X=3 is, 17.5 Joule (J).

Mathematically,

Area= 2.5+2.5+5+5+2.5 = 17.5 J

Therefore, K.E at x=3 is 17.5 J

using formula,

17.5 J= (1/2)x(2)×(V^2)

V= 4.183 m/s

(For your practise, you can try to find velocity at different values of X.)

Also at X=6,

K.E=0 J

Therefore, using formula

0 =(1/2)x(2)x(v^2)

V= 0 m/s

Also, as additional bonus let's find total kinetic energy.

Area under the curve= - 2.5 J